Reports on the findings of an examination of 32 linear algebra textbooks. The examination, to determine existing approaches to teaching the topics, was in preparation for developing a linear algebra program for high school students. (PK)

Advantages and disadvantages of the modern definition of function, understanding the concept of function, procedures used in a study of the understandings of ninth graders, and detailed results of the study are discussed. (MNS)

Presented is a general overview of mathematics anxiety, its definition, and techniques to measure it. Included are a brief discussion of gender-related issues and an analysis of research on effects of mathematics anxiety on elementary teachers. Contained are some intervention strategies and treatments, conclusions and implications for further…

Argues that the investigation of the life and personality of textbook authors is one approach by which it is possible to analyze school life in the past. The French text author Lacroix is considered. (PK)

Describes some topics of French research: relationships between teaching and learning, choices and constraints of the didactic system, role of the computer, and forms of the functioning knowledge. (YP)

Analyzes two transcripts of children's mathematical behavior to observe the nature of recursive levels and interrelationships among them. Describes several levels of the recursions. (YP)

Information is presented from a three-year research investigation in London which aims to characterize good mathematics teachers. Teacher, pupil, and classroom perspectives are each included for one teacher. (MNS)

Discussed is the notion of ethnomathematics as an epistemological approach to mathematics. The relationship between ethnomathematics and mathematics education is described. Suggestions regarding mathematical pedagogy are provided. (CW)

Lists five criteria in the acceptance of mathematical theorems, such as understanding, significance, compatibility, reputation, and convincing argument. Concludes that social and language factors are involved in the process of the acceptance. (YP)

Suggests that student errors in mathematics be used as motivational devices and starting points for mathematical explorations, involving problem solving and problem posing activities. It is further suggested that errors can foster a deeper and more complete understanding of mathematical content and nature of mathematics itself. (PK)

Describes an exploratory investigation of how children reacted to problems with missing, surplus or contradictory data. It was found that the majority of children gave unsatisfactory answers to such problems. (PK)

Discussed are research methods as applied to research in the mathematics classroom. Included in the discussion are objectivity, development, evaluation, observation, reflection, research design and methods, and data reduction. (CW)

Begins with the assumption that by practicing something one often learns something else. A discussion is presented on the historical and social development of knowledge, the cognitive development of students, the role of teachers, and the meaning of learning situations. (PK)

Geometric axioms are discussed in terms of philosophy, history, refinements, and basic concepts. The triumphs and limitations of the formalism theory are included. Described is the status of high school geometry internationally. (KR)

This study details the establishment of a teacher/learner laboratory at Monash University in Australia and the information it yielded about the learning and teaching of mathematics. Both instructors and learners understood they were cooperating to help develop an understanding of difficulties in learning and teaching strategies and ways to reduce…